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Finding the Fourth Proportional to 288,211.92, 432,022.44 and 119,829.96

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Solution

The fourth proportional to 288,211.92, 432,022.44 and 119,829.96 is: 179,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,211.92 : 432,022.44 = 119,829.96 : x
  2. Step 2: Convert to fraction form
    288,211.92/432,022.44 = 119,829.96/x
  3. Step 3: Cross multiply
    288,211.92x = 432,022.44 × 119,829.96
  4. Step 4: Simplify right side
    288,211.92x = 51,769,231,704.30
  5. Step 5: Solve for x
    x = 51,769,231,704.30/288,211.92
  6. Step 6: Final answer
    x = 179,622.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.